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Finding the Fourth Proportional to 69,653.60, 96,149.40 and 47,006

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Solution

The fourth proportional to 69,653.60, 96,149.40 and 47,006 is: 64,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,653.60 : 96,149.40 = 47,006 : x
  2. Step 2: Convert to fraction form
    69,653.60/96,149.40 = 47,006/x
  3. Step 3: Cross multiply
    69,653.60x = 96,149.40 × 47,006
  4. Step 4: Simplify right side
    69,653.60x = 4,519,598,696.40
  5. Step 5: Solve for x
    x = 4,519,598,696.40/69,653.60
  6. Step 6: Final answer
    x = 64,886.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.